Struggling with the Boltzmann Collision Term?

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SUMMARY

The discussion focuses on the challenges of solving the collision term in the Boltzmann equation for simulating partially ionized plasma. The user employs a splitting technique for advection in phase-space but encounters difficulties specifically with the collision term. They mention experience with Boltzmann and Fokker-Planck collision operators and seek recommendations for numerical solutions. The conversation indicates a collaborative effort to clarify and resolve the issues faced in this complex area of plasma physics.

PREREQUISITES
  • Understanding of the Boltzmann equation
  • Familiarity with splitting techniques in numerical simulations
  • Knowledge of Fokker-Planck collision operators
  • Basic principles of plasma physics
NEXT STEPS
  • Research numerical methods for solving the Boltzmann equation
  • Explore advanced splitting techniques for phase-space advection
  • Study the implementation of Fokker-Planck collision operators in simulations
  • Investigate existing literature on collisional Boltzmann equations
USEFUL FOR

Researchers and practitioners in plasma physics, computational physicists, and anyone involved in numerical simulations of collisional processes in partially ionized plasmas.

Tempa
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Hello,

I'm working of the Boltzmann equation to simulate a partially ionized plasma, but I'm having troubles to solve the collision term. I'm using a splitting technique for the advection in the phase-space, but I'm quite stuck in the collision term. Any recommendations?
 
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If you are still interested in this problem maybe I could help. I have spent the last few weeks working with the Boltzmann and fokker-planck collision operators. I take from your question that you are solving the collisional Boltzmann equation and are having a hard time numerically solving the collision term? Maybe with a few more details on what it is that you are doing I could provide some suggestion.

In what way do you mean "splitting"? I have some ideas but I am not positive.
 

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